Details

sample543.0ms

Algorithm

intervals

Results

365.0ms	251×	body	10240	exit
58.0ms	200×	body	80	nan
54.0ms	74×	body	1280	valid
16.0ms	48×	body	640	valid
7.0ms	91×	body	80	valid
6.0ms	26×	body	320	valid
6.0ms	5×	body	2560	valid
2.0ms	11×	body	160	valid
1.0ms	1×	body	5120	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.0b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def`

Counts

2 → 19

Calls

2 calls:

4.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify4.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	44	159
1	77	156
2	134	142
3	255	142
4	501	142
5	1117	142
6	3821	142
done	5002	142

prune142.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 33.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cbrt (pow (cosh c) 3))
0.0b	(pow (cosh c) 3)
38.0b	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `cosh-def`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cosh c)
3.0ms	(cbrt (pow (cosh c) 3))
3.0ms	(pow (cosh c) 3)
0.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

series225.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cosh c)
60.0ms	(cbrt (pow (cosh c) 3))
96.0ms	(pow (cosh c) 3)
3.0ms	(fmod (cbrt (pow (cosh c) 3)) (log1p a))

simplify3.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (930.0ms)

Iter	Nodes	Cost
0	101	672
1	199	478
2	470	453
3	2695	445
done	5001	445

prune282.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
0.0b	(+ (exp c) (exp (- c)))
0.0b	(pow (+ (exp c) (exp (- c))) 3)
38.0b	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `flip-+` `distribute-lft-out`
2×	`cbrt-div` `associate-*r/`
1×	`+-commutative` `cbrt-prod` `cube-mult` `pow-to-exp` `pow-pow` `pow1/3` `unpow3` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

41.0ms	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
28.0ms	(+ (exp c) (exp (- c)))
41.0ms	(pow (+ (exp c) (exp (- c))) 3)
0.0ms	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

series170.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3)))
25.0ms	(+ (exp c) (exp (- c)))
65.0ms	(pow (+ (exp c) (exp (- c))) 3)
5.0ms	(fmod (cbrt (* 1/8 (pow (+ (exp c) (exp (- c))) 3))) (log1p a))

simplify1.0s

Counts

80 → 80

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	119	1058
1	279	958
2	888	857
done	5000	848

prune530.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 32.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (+ (exp c) (exp (- c)))))
0.0b	(pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3)
1.7b	(log1p (+ (exp c) (exp (- c))))
38.0b	(fmod (cbrt (* 1/8 (pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3))) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube`
4×	`log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `cube-prod`
1×	`cube-mult` `pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `unpow3` `log1p-expm1` `pow-exp` `expm1-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

0.0ms	(expm1 (log1p (+ (exp c) (exp (- c)))))
3.0ms	(pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3)
0.0ms	(log1p (+ (exp c) (exp (- c))))
0.0ms	(fmod (cbrt (* 1/8 (pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3))) (log1p a))

series570.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(expm1 (log1p (+ (exp c) (exp (- c)))))
198.0ms	(pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3)
138.0ms	(log1p (+ (exp c) (exp (- c))))
6.0ms	(fmod (cbrt (* 1/8 (pow (expm1 (log1p (+ (exp c) (exp (- c))))) 3))) (log1p a))

simplify4.2s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	106	935
1	196	746
2	505	666
3	3122	661
done	5000	661

prune361.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.7b

regimes540.0ms

Accuracy

0% (1.6b remaining)

Error of 34.1b against oracle of 32.5b and baseline of 34.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	19	19
done	19	19

end0.0ms

sample18.9s

Algorithm

intervals

Results

14.3s	7817×	body	10240	exit
1.8s	2253×	body	1280	valid
708.0ms	1636×	body	640	valid
418.0ms	5268×	body	80	nan
294.0ms	2764×	body	80	valid
269.0ms	787×	body	320	valid
268.0ms	160×	body	2560	valid
70.0ms	390×	body	160	valid
21.0ms	10×	body	5120	valid